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Finding the Third Proportional to 424.97 and 986.20

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Solution

The third proportional to 424.97 and 986.20 is: 2,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.97 : 986.20 = 986.20 : x
  2. Step 2: Convert to fraction form
    424.97/986.20 = 986.20/x
  3. Step 3: Cross multiply
    424.97x = 986.20 × 986.20
  4. Step 4: Simplify right side
    424.97x = 972,596.60
  5. Step 5: Solve for x
    x = 972,596.60/424.97
  6. Step 6: Final answer
    x = 2,288.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.